Analytical Study of Band Structure of Material Using Relativistic Concept

Abstract

In this paper, we present the study of band structure relativistically. Here, Dirac equation is formulated from Hamilto-nian in which the formulation is found to contain a correction term known as spin-orbit coupling given as
that modifies the non-relativistic expression for the same formulation. This term leads to double spin-degeneracy within the first Brillioun zone which is a concept that is not found in other method of study of band structure of material.

Share and Cite:

E. Ugwu and M. Echi, "Analytical Study of Band Structure of Material Using Relativistic Concept," Applied Mathematics, Vol. 4 No. 9, 2013, pp. 1287-1289. doi: 10.4236/am.2013.49173.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] N. M. Aschroft and N. D. Mermin, “Solid State Physics Holt,” Rinehart and Winston, 1976.
[2] P. M. Marcus, J. F. Janak and A. R. Williams, “Computa tional Methods in Band Theory,” Plenum Press, New York, 1971. doi:10.1007/978-1-4684-1890-3
[3] B. Alder, S. Fernbach and M. Rotenburg, “Methods in Computational Physics,” Energy Band in Solids, Vol. 8B Academic Press, New York, 1968.
[4] F. I. Ezema, A. B. C. Ekwealor and R. U. Osuji, Turkish Journal of Physics, Vol. 30, No. , 2006, pp. 157-163.
[5] T. Suziki, H. Kitazawa, M. Era, I. Ogoro, H. Shida, A. Yanase and T. Kasuya, “” Proceding of 4th International Conference on Crystal Field and Structural Effect in Electron System, 1981.
[6] T. Kasuya, In: T. Moriy, Ed., Electron Correlation and Magnetism in Narrow-Band Systems, Springer-Verlag Heidelberg; 1981, pp. 237-255. doi:10.1007/978-3-642-81639-0_24
[7] W. A. Harrison, “Pseudopotentials in the Theory of Metals Benjamin,” New York, 1966.
[8] J. Zak, “The Irreducible Representations of Space Groups,” New York, Amsterdam, 1969.
[9] G. W. Pratt and L. G. Ferreira, “Physics of Semiconductor,” Dunod, Paris, 1964, p. 69.
[10] L. E. Jonson, J. B. Conklin and G. N. Pratt, Physical Review Letters, Vol. 11, No. 53, 1963.
[11] J. Williams and H. M. Norman, “Theoretical Solid State Physics,” Dover Publication, Inc., New York, 1974.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.